Whoohoooo.
Other Amiga 4000 mainbord giving a Kickstart screen now. The one with the overheating Ramsey.
On a German forum I read some people with a overheating Ramsey because of R79( below the CPU board connector next to the screw hole on the Ramsey side) having died. For me that was not the case. R79 measured it's exact value.
So after some measuring of the SIMM's and the Ramsey pins for a short cirquit I thought what if one of the tracks in relation to R79 has been broken and hey presto!! That was it.
The small 7 mm track between resistor R79 and the via at the side of the motherboard was broken. Don't know what the previous owner did to manage that but glad that was it.
Tomorrow I'll test to see if something else is broken. I hope not.
First off I know this thread is old, but I want to thank you for writing this down. I have the same exact problem and it was the same small trace between R79 and I believe 5V. Unlike yours, Mine had other issues with my clock that I repaired and tested already, put it back into the case and I get a grey screen. I did not even think to check the Ramsey until I found this article, so I dropped my 030 board in there and did the same thing and found the Ramsey to be hot as well. So did the same checks you did and noticed the same exact problem. Thank you!